Hey there!
I know CloudFlare provides VPN software, (Virtual Private Network), for most devices including iOS, (One, for example would be 1.1.1.1), Mac and others, including for enterprise use, and many use their public DNS settings as well.
If you look in your Settings on your iOS device, do you see it there?
Settings > VPN.
In either case, I’d check Settings > General > VPN, and remove/delete any VPN software you don’t want or need anymore.
On your Mac, check System Preferences > Network.
On the left column, you’ll see your network interfaces, if you see anything related to CloudFlare or VPN, etc. highlight it and press the “-“ below to remove it, then I’d utilize any uninstallation software that they may provide.
Likewise, this issue with having to enter in a captcha at any and every Google web search or YouTube search, (Not posted by you but by @runtrble, is an issue affecting many people right now, I believe mostly with AT&T and Cloudflare servers, see if you can use a different network to bypass that, if so, I’d try the steps I mentioned above.
Hope that helps!